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      <a id="gendyx"></a>
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      <a id="IndexGendyx" class="indexterm"></a>
      <div class="refnamediv">
        <h2>
          <span class="refentrytitle">gendyx</span>
        </h2>
        <p>gendyx — 
      Variation of the dynamic stochastic approach to waveform
      synthesis conceived by Iannis Xenakis.
    </p>
      </div>
      <div class="refsect1">
        <a id="idp112928224"></a>
        <h2>Description</h2>
        <p>
      <span class="emphasis"><em>gendyx</em></span> (gendy eXtended) is an implementation
      of the <span class="emphasis"><em>Génération Dynamique Stochastique</em></span>
      (GENDYN), a dynamic stochastic approach to waveform synthesis
      conceived by Iannis Xenakis, using curves instead of segments.
    </p>
      </div>
      <div class="refsect1">
        <a id="idp112930368"></a>
        <h2>Syntax</h2>
        <pre class="synopsis">ares <span class="command"><strong>gendyx</strong></span> kamp, kampdist, kdurdist, kadpar, kddpar, kminfreq, kmaxfreq, \
            kampscl, kdurscl, kcurveup, kcurvedown [, initcps] [, knum]</pre>
        <pre class="synopsis">kres <span class="command"><strong>gendyx</strong></span> kamp, kampdist, kdurdist, kadpar, kddpar, kminfreq, kmaxfreq, \
            kampscl, kdurscl, kcurveup, kcurvedown [, initcps] [, knum]</pre>
      </div>
      <div class="refsect1">
        <a id="idp112934208"></a>
        <h2>Initialization</h2>
        <p>
      <span class="emphasis"><em>initcps</em></span> (optional, default=12) -- max number of
      control points.
    </p>
      </div>
      <div class="refsect1">
        <a id="idp112935888"></a>
        <h2>Performance</h2>
        <p>
      <span class="emphasis"><em>kamp</em></span> -- amplitude.
    </p>
        <p>
      <span class="emphasis"><em>kampdist</em></span> -- choice of probability
      distribution for the next perturbation of the amplitude of a
      control point. The valid distributions are:
      </p>
        <div class="itemizedlist">
          <ul class="itemizedlist" style="list-style-type: disc; ">
            <li class="listitem">
              <p>0 - LINEAR</p>
            </li>
            <li class="listitem">
              <p>1 - CAUCHY</p>
            </li>
            <li class="listitem">
              <p>2 - LOGIST</p>
            </li>
            <li class="listitem">
              <p>3 - HYPERBCOS</p>
            </li>
            <li class="listitem">
              <p>4 - ARCSINE</p>
            </li>
            <li class="listitem">
              <p>5 - EXPON</p>
            </li>
            <li class="listitem">
              <p>6 - SINUS (external k-rate signal)</p>
            </li>
          </ul>
        </div>
        <p>
      If <span class="emphasis"><em>kampdist</em></span>=6, the user can use an external
      k-rate signal through <span class="emphasis"><em>kadpar</em></span>.
    </p>
        <p>
      <span class="emphasis"><em>kdurdist</em></span> -- choice of distribution for the
              perturbation of the current inter control point
              duration. See <span class="emphasis"><em>kampdist</em></span> for the valid distributions.
      If <span class="emphasis"><em>kdurdist</em></span>=6, the user can use an external
      k-rate signal through <span class="emphasis"><em>kddpar</em></span>.
    </p>
        <p>
      <span class="emphasis"><em>kadpar</em></span> -- parameter for the <span class="emphasis"><em>kampdist</em></span>
      distribution. Should be in the range of 0.0001 to 1.
    </p>
        <p>
      <span class="emphasis"><em>kddpar</em></span> -- parameter for the <span class="emphasis"><em>kdurdist</em></span>
      distribution. Should be in the range of 0.0001 to 1.
    </p>
        <p>
      <span class="emphasis"><em>kminfreq</em></span> -- minimum allowed frequency of oscillation.
    </p>
        <p>
      <span class="emphasis"><em>kmaxfreq</em></span> -- maximum allowed frequency of oscillation.
    </p>
        <p>
      <span class="emphasis"><em>kampscl</em></span> -- multiplier for the
      distribution's delta value for amplitude (1.0 is full range).
    </p>
        <p>
      <span class="emphasis"><em>kdurscl</em></span> -- multiplier for the distribution's delta value for duration.
    </p>
        <p>
      <span class="emphasis"><em>kcurveup</em></span> -- controls the curve for the increasing
      amplitudes between two points; it has to be non negative.
      </p>
        <div class="itemizedlist">
          <ul class="itemizedlist" style="list-style-type: disc; ">
            <li class="listitem">
              <p>0: step function (like a sample &amp; hold)</p>
            </li>
            <li class="listitem">
              <p>&lt;1: concave</p>
            </li>
            <li class="listitem">
              <p>1: linear (like gendy)</p>
            </li>
            <li class="listitem">
              <p>&gt;1: convex</p>
            </li>
          </ul>
        </div>
        <p>
    </p>
        <p>
      <span class="emphasis"><em>kcurvedown</em></span> -- controls the curve for the decreasing
      amplitudes between two points; it has to be non negative.
      </p>
        <div class="itemizedlist">
          <ul class="itemizedlist" style="list-style-type: disc; ">
            <li class="listitem">
              <p>0: step function</p>
            </li>
            <li class="listitem">
              <p>&lt;1: convex</p>
            </li>
            <li class="listitem">
              <p>1: linear</p>
            </li>
            <li class="listitem">
              <p>&gt;1: concave</p>
            </li>
          </ul>
        </div>
        <p>
    </p>
        <p>
      <span class="emphasis"><em>knum</em></span> (optional,
      default=<span class="emphasis"><em>initcps</em></span>) -- current number of utilized control points.
    </p>
        <p>
      The waveform is generated by <span class="emphasis"><em>knum</em></span> - 1
      curves and is repeated in the time. The vertexes (control points)
      are moved according to a stochastic action and they are limited
      within the boundaries of a mirror formed by an amplitude barrier
      and a time barrier.
      </p>
        <div class="mediaobject">
          <img src="images/gendyx.png" alt="[Extract of a waveform generated with gendyx.]" />
          <div class="caption">
            <p>Extract of a waveform generated with <span class="emphasis"><em>gendyx</em></span>.</p>
          </div>
        </div>
        <p>
    </p>
      </div>
      <div class="refsect1">
        <a id="idp112965712"></a>
        <h2>Examples</h2>
        <p>
      Here is an example of the gendyx opcode. It uses the file
      <a class="ulink" href="examples/gendyx.csd" target="_top"><em class="citetitle">gendyx.csd</em></a>.
      </p>
        <div class="example">
          <a id="idp112967568"></a>
          <p class="title">
            <strong>Example 352. Example of the gendyx opcode.</strong>
          </p>
          <div class="example-contents">
            <p>See the sections <a class="link" href="UsingRealTime.html" title="Real-Time Audio"><em class="citetitle">Real-time Audio</em></a> and <a class="link" href="CommandFlags.html" title="Csound command line"><em class="citetitle">Command Line Flags</em></a> for more information on using command line flags.</p>
            <pre class="programlisting">
<span class="csdtag">&lt;CsoundSynthesizer&gt;</span>
<span class="csdtag">&lt;CsOptions&gt;</span>
<span class="comment">; Select audio/midi flags here according to platform</span>
-odac     <span class="comment">;;;realtime audio out</span>
<span class="comment">;-iadc    ;;;uncomment -iadc if realtime audio input is needed too</span>
<span class="comment">; For Non-realtime ouput leave only the line below:</span>
<span class="comment">; -o oscil.wav -W ;;; for file output any platform</span>
<span class="csdtag">&lt;/CsOptions&gt;</span>
<span class="csdtag">&lt;CsInstruments&gt;</span>

<span class="ohdr">sr</span> <span class="op">=</span> 44100
<span class="ohdr">ksmps</span> <span class="op">=</span> 32
<span class="ohdr">nchnls</span> <span class="op">=</span> 2
<span class="ohdr">0dbfs</span>  <span class="op">=</span> 1

<span class="oblock">instr</span> 1

aout <span class="opc">gendyx</span> 0.7, 1, 1, 1, 1, 20, 1000, 0.5, 0.5, 4, 0.13
<span class="opc">outs</span> aout, aout

<span class="oblock">endin</span>
<span class="csdtag">&lt;/CsInstruments&gt;</span>
<span class="csdtag">&lt;CsScore&gt;</span>
<span class="stamnt">i</span>1 0 10
<span class="stamnt">e</span>
<span class="csdtag">&lt;/CsScore&gt;</span>
<span class="csdtag">&lt;/CsoundSynthesizer&gt;</span>
</pre>
          </div>
        </div>
        <p><br class="example-break" />
    </p>
        <p>
      Here is an example of the gendyx opcode with some modulations. It uses the file
      <a class="ulink" href="examples/gendyx-2.csd" target="_top"><em class="citetitle">gendyx-2.csd</em></a>.
      </p>
        <div class="example">
          <a id="idp112972880"></a>
          <p class="title">
            <strong>Example 353. Example of the gendyx opcode with some modulations.</strong>
          </p>
          <div class="example-contents">
            <p>See the sections <a class="link" href="UsingRealTime.html" title="Real-Time Audio"><em class="citetitle">Real-time Audio</em></a> and <a class="link" href="CommandFlags.html" title="Csound command line"><em class="citetitle">Command Line Flags</em></a> for more information on using command line flags.</p>
            <pre class="programlisting">
<span class="csdtag">&lt;CsoundSynthesizer&gt;</span>
<span class="csdtag">&lt;CsOptions&gt;</span>
<span class="comment">; Select audio/midi flags here according to platform</span>
-odac     <span class="comment">;;;realtime audio out</span>
<span class="comment">;-iadc    ;;;uncomment -iadc if realtime audio input is needed too</span>
<span class="comment">; For Non-realtime ouput leave only the line below:</span>
<span class="comment">; -o oscil.wav -W ;;; for file output any platform</span>
<span class="csdtag">&lt;/CsOptions&gt;</span>
<span class="csdtag">&lt;CsInstruments&gt;</span>

<span class="ohdr">sr</span> <span class="op">=</span> 44100
<span class="ohdr">ksmps</span> <span class="op">=</span> 32
<span class="ohdr">nchnls</span> <span class="op">=</span> 2
<span class="ohdr">0dbfs</span>  <span class="op">=</span> 1

<span class="oblock">instr</span> 1
kenv <span class="opc">expseg</span> 0.001, p3<span class="op">*</span>0.05, 0.5, p3<span class="op">*</span>0.9, 0.5, p3<span class="op">*</span>0.05, 0.001
kc1  <span class="opc">linseg</span> 1, p3<span class="op">/</span>2, 12, p3<span class="op">/</span>2, 3
kc2  <span class="opc">random</span> 0, 4
<span class="ohdr">seed</span> 20120124
asig <span class="opc">gendyx</span> kenv, 1, 3, 0.7, 0.8, 120, 4300, 0.2, 0.7, kc1, kc2, 12, kc1
aout <span class="opc">dcblock</span> asig
<span class="opc">outs</span> aout, aout
<span class="oblock">endin</span>
<span class="csdtag">&lt;/CsInstruments&gt;</span>
<span class="csdtag">&lt;CsScore&gt;</span>
<span class="stamnt">i</span>1 0 20
<span class="stamnt">e</span>
<span class="csdtag">&lt;/CsScore&gt;</span>
<span class="csdtag">&lt;/CsoundSynthesizer&gt;</span>
</pre>
          </div>
        </div>
        <p><br class="example-break" />
    </p>
      </div>
      <div class="refsect1">
        <a id="idp112977184"></a>
        <h2>References</h2>
        <p>
      </p>
        <div class="orderedlist">
          <ol class="orderedlist" type="1">
            <li class="listitem">
              <p>
            Formalized Music (1992, Stuyvesant, NY: Pendragon Press),
            pp. 246 - 254, 289 - 322.
          </p>
            </li>
          </ol>
        </div>
        <p>
    </p>
      </div>
      <div class="refsect1">
        <a id="idp112980128"></a>
        <h2>See Also</h2>
        <p>
      <a class="link" href="gendy.html" title="gendy"><em class="citetitle">gendy</em></a>
      <a class="link" href="gendyc.html" title="gendyc"><em class="citetitle">gendyc</em></a>
    </p>
      </div>
      <div class="refsect1">
        <a id="idp112983168"></a>
        <h2>Credits</h2>
        <p>
      </p>
        <table border="0" summary="Simple list" class="simplelist">
          <tr>
            <td>Variation of the Nick Collins's Gendy1 ugen (SuperCollider)</td>
          </tr>
          <tr>
            <td>Author: Tito Latini</td>
          </tr>
          <tr>
            <td>January 2012</td>
          </tr>
        </table>
        <p>
    </p>
        <p>New in Csound version 5.16</p>
      </div>
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